Liyuan Distinguished Scholar sixteen: An Overview of Holomorphic Motions Theory and Holomorphic Liftings in Teichmuller Spaces

Title: An Overview of Holomorphic Motions Theory and Holomorphic Liftings in Teichmuller Spaces

Speaker: Prof. Yunping Jiang (The City University of New York)

Lecture time: March 18, 2024 (Monday) 15:30-16:30

Lecture location: Classroom No. 1 on the first floor of Huixing Building, Yuehai Campus, SZU

Overview: The holomorphic lifting, which was used to be called one of the important problems in Teichmuller theory, is equivalent to the full extension of a holomorphic motion of a subset of the Riemann sphere over a hyperbolic Riemann surface. We proved the holomorphic lifting under the trivial monodromy condition and showed that the trivial monodromy condition is necessary and sufficient. I will provide an overview of this work in this talk.

Speaker Introduction: Jiang Yunping is a Distinguished Professor at the City University of New York and a renowned expert in complex dynamical systems. He completed his undergraduate and graduate studies at Peking University, where he was mentored by Professor Liao Shantao. Jiang earned his Ph.D. from the Graduate Center of the City University of New York, under the supervision of Professor D. Sullivan, a recipient of the Abel Prize. He was selected for the Chinese Academy of Sciences' Hundred Talents Program. Jiang has served as an editor for the American Mathematical Society's Transactions and Memoirs, and as the director of the Mathematical Analysis Group at the National Science Foundation of the United States.

Teachers and students are welcome to participate!

Invited by: School of Mathematical Sciences

School of Mathematical Sciences

March 11, 2024